Answer:
Step-by-step explanation:
Given: Perimeter of triangle= 72 units
Measure of one of the side= x units
Measure of second side = 3x units
We know the perimeter of triangle is equal to sum of all sides.
Now, finding the possible value of x
forming an inequality to determine the value of x
Remember triangle has three sides, however, measure of only two sides are given.
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Dividing both side by 4
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∴ The inequality to represents all possible values of x is
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You could solve this problem by either: Factoring or by using the Quadratic Formula.
SOLVING BY FACTORING STEPS
<em>STEP 1:</em><em> Move (2x−1)(x+1) to the left side of the equation by subtracting it from both sides.</em>
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<em>STEP 2:</em><em> Simplify 2x^2+3x−(2x−1)(x+1).</em>
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<em>STEP 3: </em><em>Simplify each term.</em>
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<em>STEP 4: </em><em>Simplify by adding terms.</em>
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<em>STEP 5:</em><em> Subtract 1 from both sides of the equation.</em>
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<em>STEP 6: </em><em>Divide each term by 2 and simplify.</em>
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SOLVE BY USING THE QUADRATIC FORMULA STEPS
<em>STEP 1: </em><em>Move all terms to the left side of the equation and simplify.</em>
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<em>STEP 2: </em><em>Subtract 1 from both sides of the equation.</em>
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<em>STEP 3: </em><em>Divide each term by 2 and simplify.</em>
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